4660720064 has 336 divisors, whose sum is σ = 13329025920. Its totient is φ = 1585059840.

The previous prime is 4660720033. The next prime is 4660720073. The reversal of 4660720064 is 4600270664.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8520239 + ... + 8520785.

It is an arithmetic number, because the mean of its divisors is an integer number (39669720).

Almost surely, 2^4660720064 is an apocalyptic number.

4660720064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4660720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664512960).

4660720064 is an abundant number, since it is smaller than the sum of its proper divisors (8668305856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4660720064 is a wasteful number, since it uses less digits than its factorization.

4660720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 4660720064 is about 68269.4665571659. The cubic root of 4660720064 is about 1670.3891982562.

The spelling of 4660720064 in words is "four billion, six hundred sixty million, seven hundred twenty thousand, sixty-four".